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Solve 3x + 10 = 28

The solution of 3x + 10 = 28 is x = 6.

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The lines y = 3x + 10 and y = 28 meet at x = 6246810121015202530354045x = 6y = 3x + 10y = 28
The lines y = 3x + 10 and y = 28 meet at x = 6. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    3x+10=283x + 10 = 28
  2. 2

    Subtract 10 from both sides:

    3x+10−10=28−10 ⇒ 3x=183x + 10 - 10 = 28 - 10 \ \Rightarrow\ 3x = 18
  3. 3

    Divide both sides by 3:

    3x3=183 ⇒ x=6\frac{3x}{3} = \frac{18}{3} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    3⋅6+10=18+10=28✓3\cdot6 + 10 = 18 + 10 = 28 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 10 = 28\ \Rightarrow\ x = 6 \]
\[ 3x + 10 = 28 \]
\[ 3x + 10 - 10 = 28 - 10 \ \Rightarrow\ 3x = 18 \]
\[ \frac{3x}{3} = \frac{18}{3} \ \Rightarrow\ x = 6 \]
\[ 3\cdot6 + 10 = 18 + 10 = 28 \checkmark \]

Trying values of x in 3x + 10 = 28

x3x + 10Equals 28?
422no
525no
628yes
731no
834no

Questions

What is x in 3x + 10 = 28?

The solution of 3x + 10 = 28 is x = 6.

How do you solve 3x + 10 = 28?

Subtract 10 from both sides to get 3x = 18, then divide both sides by 3 to get x = 6.

How do I check the answer?

Replace x by 6: 3(6) + 10 = 28, which is 28.

Similar equations

    Solve 3x + 10 = 28: x = 6 (steps and check) | WordGPT